Sensitivity of a Relativistic Backward-Wave Oscillator to Budker's Parameter

Abstract

Abstract-Using the self-consistent Vlasov approach, we calculate the sensitivity of the growth rate and frequency of the transverse magnetic modes of a relativistic backward-wave oscillator to Budker's parameter. A closed algebraic dispersion relation is derived, representing the linear stability properties of the free-streaming modes of a relativistic, thin, hollow, cylindrical electron beam moving down the axis of a discloaded waveguide in a strong axial magnetic guide field. The analysis is restricted to small ratios of Budker's parameter to the relativistic gamma factor of the beam.

TE Waves in Arbitrary Periodic Slow-wave Structures with Rectangular Grooves

“…Most of them are dealing with the dispersion properties of the azimuthally symmetric TM modes in waveguides with sinusoidal periodic surface [10][11][12][13][14][15][16][17][18][19][20], but there are also published works for rectangular corrugation profiles [21][22][23][24]. The mathematical formulations used to study the sinusoidal [18] and rectangular [23,25] surface corrugations can be easily combined in a more general way to include also smoothing.…”